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Finding the Fourth Proportional to 7,584.43, 10,466.49 and 4,227.22

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Solution

The fourth proportional to 7,584.43, 10,466.49 and 4,227.22 is: 5,833.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,584.43 : 10,466.49 = 4,227.22 : x
  2. Step 2: Convert to fraction form
    7,584.43/10,466.49 = 4,227.22/x
  3. Step 3: Cross multiply
    7,584.43x = 10,466.49 × 4,227.22
  4. Step 4: Simplify right side
    7,584.43x = 44,244,155.86
  5. Step 5: Solve for x
    x = 44,244,155.86/7,584.43
  6. Step 6: Final answer
    x = 5,833.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.